GCD of 849, 398, 354, 225 Calculator

Given Input numbers are 849, 398, 354, 225

In the factoring method, we have to find the divisors of all numbers

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

GCD of numbers is the greatest common divisor

So, the GCD (849, 398, 354, 225) = 1.

Given numbers are 849, 398, 354, 225

The list of prime factors of all numbers are

Prime factors of 849 are 3 x 283

Prime factors of 398 are 2 x 199

Prime factors of 354 are 2 x 3 x 59

Prime factors of 225 are 3 x 3 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 849, 398, 354, 225

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(849, 398) = 337902

GCD(849, 398) = ( 849 x 398 ) / 337902

= 849 / 398

= 849

Step2:

LCM(1, 354) = 354

GCD(1, 354) = ( 1 x 354 ) / 354

= 1 / 354

= 1

Step3:

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

= 1 / 225

= 1

So, Greatest Common Divisor of 849, 398, 354, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 217, 433, 710, 713
• GCD of 477, 492, 382, 257
• GCD of 444, 478, 253, 502
• GCD of 522, 295, 870, 517
• GCD of 588, 429, 665, 188

Given numbers are 849, 398, 354, 225
The greatest common divisor of numbers 849, 398, 354, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 398, 354, 225 is 1.

1. What is the GCD of 849, 398, 354, 225?

GCD of given numbers 849, 398, 354, 225 is 1

2. How to calculate the greatest common divisor of 849, 398, 354, 225?

We can find the highest common divisor of 849, 398, 354, 225 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 849, 398, 354, 225 i.e 1.

3. How can I use the GCD of 849, 398, 354, 225Calculator?

Out the numbers 849, 398, 354, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.